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arXiv · 2202.13814

The Nonvanishing problem for varieties with nef anticanonical bundle

Vladimir Lazić·Shin-ichi Matsumura·Thomas Peternell·Nikolaos Tsakanikas·Zhixin Xie
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Abstract

We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)$ is nef, then the numerical class of ${-}(K_X+\Delta)$ is effective.

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Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell, Nikolaos Tsakanikas, Zhixin Xie. 2022-02-28. The Nonvanishing problem for varieties with nef anticanonical bundle. https://doi.org/10.4171/dm/936

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